KINEMATICS ALONG A CURVE

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# KINEMATICS ALONG A CURVE - PowerPoint PPT Presentation

KINEMATICS ALONG A CURVE. Lesson 1: Projectile Motion. PROJECTILE. They are the bodies that are given with initial velocity and moves on the earth surface because of gravity. KINEMATICS ALONG A CURVE. Lesson 1: Projectile Motion. PROJECTILE MOTION.

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Lesson 1: Projectile Motion

PROJECTILE

They are the bodies that are given with initial velocity and moves on the earth surface because of gravity.

KINEMATICS ALONG A CURVE

Lesson 1: Projectile Motion

PROJECTILE MOTION

It is a movement experience by a body at an angle equal to 900 and follows a curvilinear path.

KINEMATICS ALONG A CURVE

Lesson 1: Projectile Motion

Common examples of Projectile are the following:

1. throwing a ball

2. catapult

3. playing volleyball

KINEMATICS ALONG A CURVE

Lesson 1: Projectile Motion

TRAJEC TORY

A trajectory is the path that a moving object, the projectile, follows through space as a function of time.

KINEMATICS ALONG A CURVE

Lesson 1: Projectile Motion

In a laboratory experiment, a special device was used to project a ball in a horizontal direction at the same time releasing a second ball to fall freely for the same height. It was found that the balls reached the floor at the same time. This result suggeststhat the vertical motion of the projected ball is not affectedby its horizontal velocity. Therefore, projectile motion is a combination of vertical and horizontal motion that is completely independent of each other.

KINEMATICS ALONG A CURVE

Lesson 2: Elements of Projectile Motion

From the figure from the previous slide, we can see the different elements of a projectile motion. When launching the projectile, it is given by an initial velocity at an initial angle. As it travels through the air, it displaces in two dimensions, along the horizontal and along the vertical.

What goes up goes back to earth, hitting the earth or a target with final velocity.

KINEMATICS ALONG A CURVE

Lesson 2: Elements of Projectile Motion

TIME OF FLIGHT

It is the entire duration while the projectile is in its trajectory.

KINEMATICS ALONG A CURVE

Lesson 2: Elements of Projectile Motion

RANGE

It is the maximum horizontal displacement traveled by a projectile.

KINEMATICS ALONG A CURVE

Lesson 2: Elements of Projectile Motion

MAXIMUM HEIGHT

It is the maximum vertical displacement traveled by the projectile in its trajectory.

KINEMATICS ALONG A CURVE

Lesson 3: Condition of Projectile Motion

Throughout the flight:

• 1. We will neglect the effect of air resistance on the body.
• 2. We can separate the displacement and velocity to its x and y components.

KINEMATICS ALONG A CURVE

Lesson 3: Condition of Projectile Motion

Along the horizontal:

• 1. The x-component of the velocity is always constant throughout the range.
• 2. The horizontal displacement x follows a linear motion.

KINEMATICS ALONG A CURVE

Lesson 3: Condition of Projectile Motion

Along the vertical:

• 1. The y-component behaves as free-fall and thus, only affected by the acceleration due to gravity, g.
• 2. Throughout the topic, we will use +g when the motion is downward and –g when the motion is upward.
• 3. Before reaching the maximum height, g acts against the velocity, slowing it down until it reaches zero.
• 4. After reaching the maximum height, g is in the same direction as the velocity, speeding it up.

KINEMATICS ALONG A CURVE

Lesson 3: Condition of Projectile Motion

When the vertical displacement is at its maximum:

• 1. The x-component of the velocity is always constant.
• 2. The y-component of thevelocity is zero.

KINEMATICS ALONG A CURVE